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题目：How many weights can a quasi-cyclic code have ?

报告人：施敏加教授 （安徽大学）

Abstract：

We investigate the largest number of nonzero weights of quasi-cyclic codes. In particular, we focus on the function $/Gamma_Q(n,/ell,k,q),$ that is defined to be the largest number of nonzero weights a quasi-cyclic code of index  $/gcd(/ell,n)$, length $n$ and  dimension $k$ over $/Fq$ can have, and connect it to similar functions related to linear and cyclic codes. We provide several upper and lower bounds on this function, using different techniques and studying its asymptotic behavior. Moreover, we determine the smallest index for which a $q$-ary Reed-Muller code is quasi-cyclic, a result of independent interest.

时间：2020年10月7日（周三） 下午14:00-15:00

地点：线上腾讯会议（会议号：812 998 799）

联系人：张俊

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